RT Journal Article
T1 Crossed products for weak Hopf algebras
A1 Rodríguez Raposo, Ana Belén
K1 Crossed product
K1 Weak cleft extension
K1 Weak Hopf algebras
AB Weak crossed products by a weak bialgebra are de ned. The resultingstructure is not that of a unital algebra but an associative algebra with preunit. Ageneral formula of such a product is given in terms of a weak 2-cocycle and a weakmeasuring. The relation with weak cleft extensions is studied. Equivalences of weakcrossed products are de ned and are related to gauge transformations. A relationbetween cleaving maps is described in terms of gauge transformations.
PB Taylor & Francis
SN 0092-7872
YR 2009
FD 2009-06-24
LK http://hdl.handle.net/10347/32469
UL http://hdl.handle.net/10347/32469
LA eng
NO Ana Belén Rodríguez Raposo abraposo@edu.xunta.es (2009) Crossed Products for Weak Hopf Algebras, Communications in Algebra, 37:7, 2274-2289, DOI: 10.1080/00927870802620274
NO This is an Accepted Manuscript of an article published by Taylor & Francis inCommunications in Algebra on 2009-06-24, available at: https://doi.org/10.1080/00927870802620274
NO This paper was written while the author was visiting the Department of Mathematics of the University of Wales-Swansea supported by Universidade de Santiago de Compostela. She is also supported by Ministerio de Ciencia yTecnolog´ıa, by Xunta de Galicia and by FEDER, Projects: BFM2003-07353-C02-01, PGIDITO4PXIC32202PN
DS Minerva
RD 24 abr 2026